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Cloaking for a Quasi-linear Elliptic Partial Differential Equation by Ghosh, Tuhin; Iyer, Karthik is a scholarly article available to read on EtoBox.

What is Cloaking for a Quasi-linear Elliptic Partial Differential Equation about?

In this article we consider cloaking for a quasi-linear elliptic partial differential equation of divergence type defined on a bounded domain in $\mathbb{R}^N$ for $N=2,3$. We show that a perfect cloak can be obtained via a singular change of variables scheme and an approximate cloak can be achieved via a regular change of variables scheme. These approximate cloaks though non-degenerate are anisotropic. We also show, within the framework of homogenization, that it is possible to get isotropic regular approximate cloaks. This work generalizes to quasi-linear settings previous work on cloaking in the context of Electrical Impedance Tomography for the conductivity equation.

Author

Ghosh, Tuhin; Iyer, Karthik

Published

2017

Language

EN